A rocket has a mass of 100 kg. 90% of thi

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A rocket has a mass of $100 \,kg$. $90\%$ of this is fuel. It ejects fuel vapours at the rate of $1 \,kg/sec$ with a velocity of $500\, m/sec$ relative to the rocket. It is supposed that the rocket is outside the gravitational field. The initial upthrust on the rocket when it just starts moving upwards  is ......... $N$

A

$0$

B

$500$

C

$1000 $

D

$2000$

A rocket has a mass of $100 \,kg$. $90\%$ of this is fuel. It ejects fuel vapours at the rate of $1 \,kg/sec$ with a velocity of $500\, m/sec$ relative to the rocket. It is supposed that the rocket is outside the gravitational field. The initial upthrust on the rocket when it just starts moving upwards  is ......... $N$

$F = u\left( {\frac{{dm}}{{dt}}} \right) = 500 \times 1 = 500\;N$